4960614960 has 600 divisors, whose sum is σ = 21243863520. Its totient is φ = 1065996288.

The previous prime is 4960614959. The next prime is 4960615001. The reversal of 4960614960 is 694160694.

4960614960 is a `hidden beast` number, since 49 + 60 + 61 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397381 + ... + 5398299.

Almost surely, 2^4960614960 is an apocalyptic number.

4960614960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960614960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10621931760).

4960614960 is an abundant number, since it is smaller than the sum of its proper divisors (16283248560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4960614960 is a wasteful number, since it uses less digits than its factorization.

4960614960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4960614960 is about 70431.6332339383. The cubic root of 4960614960 is about 1705.4742745984.

The spelling of 4960614960 in words is "four billion, nine hundred sixty million, six hundred fourteen thousand, nine hundred sixty".